What are the FULL classical electrodynamic equations?

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SUMMARY

The discussion centers on the classical electrodynamic equations, specifically the integration of Maxwell's equations with the Lorentz force equation. Participants emphasize the need for a continuous charge distribution representation, which involves the charge density (\(\rho\)) and current density (\(J\)). The conversation highlights the complexity of deriving a complete set of equations that relate these concepts, particularly in the context of plasma physics and the differences between classical and quantum mechanics. Key references include the Proca equations and the continuity equation, which are essential for understanding the dynamics of charged particles in electromagnetic fields.

PREREQUISITES
  • Maxwell's Equations
  • Lorentz Force Equation
  • Continuity Equation
  • Plasma Physics Fundamentals
NEXT STEPS
  • Study the Proca Equations and their implications in classical electrodynamics.
  • Explore the continuity equation in the context of charge density and current density.
  • Investigate the role of Debye shielding in plasma physics.
  • Learn about the Vlasov equation and its application in describing charged particle distributions.
USEFUL FOR

Physicists, electrical engineers, and students of electromagnetism seeking to deepen their understanding of classical electrodynamics and its applications in plasma physics.

  • #31
Thanks, Michel. I'm going to let this question go for now and keep a lookout for it in my general reading. The surprising thing is that it doesn't have a ready, short answer.

Thanks for the help.

Todd
 

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